M T Batchelor et al 2008 J. Phys. A: Math. Theor. 41 352002 doi:10.1088/1751-8113/41/35/352002
M T Batchelor1,2, X-W Guan1 and A Kundu3
Show affiliationsWe propose an exactly solvable model of one-dimensional anyons with competing δ-function and derivative δ-function interaction potentials. The Bethe ansatz equations are derived in terms of the N-particle sector for the quantum anyonic field model of the generalized derivative nonlinear Schrödinger equation. This more general anyon model exhibits richer physics than that of the recently studied one-dimensional model of δ-function interacting anyons. We show that the anyonic signature is inextricably related to the velocities of the colliding particles and the pairwise dynamical interaction between particles.
Quantum gases, liquids and solids
Issue 35 (5 September 2008)
Received 13 May 2008, in final form 9 July 2008
Published 29 July 2008
M T Batchelor et al 2008 J. Phys. A: Math. Theor. 41 352002
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